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Equivariant Kodaira embedding of CR manifolds with circle action. (arXiv:1603.08872v2 [math.CV] UPDATED)

来源于:arXiv
We consider a compact CR manifold with a transversal CR locally free circle action endowed with a rigid positive CR line bundle. We prove that a certain weighted Fourier-Szeg\H{o} kernel of the CR sections in the high tensor powers admits a full asymptotic expansion. As a consequence, we establish an equivariant Kodaira embedding theorem. 查看全文>>